Free Transversal Vibrations of a Double-Membrane System

 

Danilo Karličić

 

A free vibration analysis of two parallel rectangular membranes continuously joined by a Winkler elastic layer is presented. The classical Bernoulli-Fourier method of particular integrals was used for obtaining an analytical solution of the system of two coupled partial differential equations describing transversal vibrations of a double membrane system. The solution is in a form of an infinite numbers of sets, each with two eigen circular frequencies in each of eigen amplitude modes (shapes) of transversal vibrations of a double membrane system. Some of these papers are mentioned in the introduction and references. A commercial software tool was used for a numerical analysis. The obtained numerical data are presented in graphs and tables.

 

Key words: free vibrations, transversal vibrations, membranes, Bernoulli-Fourier method, numerical analysis.